A pet store holds training classes for dogs. The store has two different training programs. The first program charges a $35 membership fee and $5 for each class. The second program does not have a membership fee, but charges $10 for each class. For how many classes will the programs cost the same? If the variable c represents the number of classes, what is the other variable for the scenario? d, representing the number of dogs in each class h, representing the number of hours p, representing the number of programs t, representing the total cost.

Answers

Answer 1

Answer:

7?

Step-by-step explanation:

Answer 2

The programs cost the same for 7 classes.

Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.

The first program charges $35 membership fee and $5 for each class.

The second program charges only $10 for each class.

Now the total cost say [tex]t_{1}[/tex], for first program can be written in equation form as,

[tex]t_{1} =35+5c[/tex],  here c is the no. of classes.

Similarly, the total cost say [tex]t_{2}[/tex] , for second program can be written in equation form as,

[tex]t_{2} =10c[/tex].

We have to find out the no. of classes for which the two programs cost the same.

according to the question,

[tex]t_{1} =t_{2}[/tex]

[tex]35+5c=10c\\10c-5c=35\\5c=35\\c=7[/tex]

Hence for 7 of classes the programs cost the same.

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Related Questions

Marcy has $1600 to invest at 8% annual interest compounded monthly. how long will it take her investment to grow to $2400?

Answers

It will take about 5 years for her investment to grow to $2400.

The formula for calculating the compound amount is expressed according to the equation;

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

A is the amount after t years = $2400P is the amount invested = $1600r is the rate = 8% = 0.08t is the time in yearsn is the compounding time = 12 (monthly)

Substitute the given parameters into the formula to have:

[tex]2400=1600(1+\frac{0.08}{12} )^{12t}\\1.5=(1+0.00667)^{12t}\\[/tex]

Take the natural logarithm of both sides

[tex]ln(1.5)=12tln(1.00667)\\12t=\frac{ln(1.5)}{ln(1.00667)}\\t = \frac{0.4054}{0.07977}\\t= 5.082years[/tex]

Hence it will take about 5 years for her investment to grow to $2400

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What is the answer for this one: If the temperature is 3 degrees and it falls by 12 degrees, what is the new temperature?

Answers

Answer:

-9 degrees

Step-by-step explanation:

3-12=-9

Answer:

-9 degrees

Step-by-step explanation:

Just think it through. If it's currently 3 degrees out side and then the temperature drops another 12 degrees, what will the temperature be.

If you're still having trouble visualizing it, picture it on a number line. It becomes:

3-12 = ?

3-12 = -9

A pancake recipe calls for 4 eggs and 12 cups of flour. How many cups of flour would you need for a single egg?

Answers

Answer:

3

Step-by-step explanation:

i'd say 3

i divided 12 by 4 and then multiplied by one, since that is the amount of eggs we want

good luck! <3

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

10

Step-by-step explanation:

Equation=5*2^3/2^2

Nancy and Bill collect coins. Nancy has x coins. Bill has 3 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Bill have.​

Answers

..........................................

A bus half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class half ticket from the station A to B costs 1000. Also, if two reserved first class full tickets and one reserved first class half ticket from A to B costs 4000, then the difference of the full first class fare from station A to B and the reservation charges for a ticket is​

Answers

Answer:

A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ...

Step-by-step explanation:

..right ya ???

Un terreno Forma rectangular mide X +4 de alto y de base X +10 indica la expresión algebraica que expresa el área del terreno

Answers

Answer:

X^2+14x +40

Step-by-step explanation:

La base es x+4 y la altura es x+10 multiplicas la base por la altura

At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3:1. How many of its 12000 students are from

Answers

Based on the information given, the number of students from Florida will be 9000 students.

Total number of students = 12000

Fraction from Florida = 3/4

Fraction of students not from Florida = 1/4

Therefore, the students from Florida will be:

= 3/4 × 12000

= 9000

The number of students from Florida is 9000.

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I watch television from 5 o clock until half past. How long do I watch for?

Answers

Answer:

5:30

Step-by-step explanation:

Important info:

watch television from 5 o clock until Half Past.

Question to Answer:

How long did you watch.

Note:

Half of 1 Hour = 30 Minutes

Solution:

5:30

Therefore You watch television until 5:30

r÷st r = 180, s = 5, t = 4

Answers

Answer:

[tex]r \div st \\ \\ 180 \div 5 \times 4 \\ \\ 180 \div 20 \\ = 9[/tex]

Step by step solution:

r ÷ st 180 ÷ 5 × 4180 ÷ 209

Elizabeth lives on a straight road that goes east and west. She starts from a point 5.8 miles west of her home and drives a certain distance to the store. The store is more than 434 miles east of her home.

Let d represent the distance Elizabeth drove.

Which inequality represents this situation?

Answers

Answer:

−5.8+d>43/4

Step-by-step explanation:

The inequality represents the situation as −5.8+d>434.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given that Elizabeth lives on a straight road that goes east and west. She starts from a point 5.8 miles west of her home and drives a certain distance to the store. The store is more than 434 miles east of her home.

The inequality will be written as the algebraic sum of the distance d and 5.8 is greater than the 434 miles.

Inequality: -5.8 > 434

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#SPJ2

which expression is equivalent to (6^5) (6^2)

Answers

6*6*6*6*6
6*6
Are equivalent to 6^5 and 6^2

Lorinda can walk 1.8 miles in 30 minutes.

Which proportion can be used to find how many miles she can walk in 45 minutes?

Answers

Answer:

B. (1.8)/(30) = (x)/(45)

Find the Product of (s^2+5s)(s^3+4s^2).

Answers

The result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]

The product is given as:

[tex](s^2+5s)(s^3+4s^2)[/tex]

Rewrite as:

[tex](s^2+5s)(s^3+4s^2) = (s^2+5s) \times (s^3+4s^2)[/tex]

Expand the expression on the right-hand side

[tex](s^2+5s)(s^3+4s^2) = s^2\times (s^3+4s^2)+5s \times (s^3+4s^2)[/tex]

Distribute the expressions

[tex](s^2+5s)(s^3+4s^2) = s^5+4s^4+5s^4+20s^3[/tex]

Evaluate like terms

[tex](s^2+5s)(s^3+4s^2) = s^5+9s^4+20s^3[/tex]

Hence, the result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]

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Jerry is buying hot dogs and hamburgers for his barbeque. Hot dogs cost $7 per pack, while hamburgers cost $12 per pack with taxes included. Jerry can spend a maximum of $70 on the food.

Answers

Answer: see below

Step-by-step explanation:you would do $5y + $6y - $50 or $11y - $50

If  Hot dogs cost $5 per pack and hamburgers cost $6 per pack you would multiply the amount of packs by the amount of money it costs then you would subtract by the amount he can spend on food therefore the answer being

$5y + $6y - $50 or $11y - $50

The mass of Earth is 5.97x10^24 kg and the mass of Moon in 7.35x10^22 kg. What is the total mass? Thank you in advance

Answers

Answer:

Total mass = 5.97 × 1024 kg + 7.35 × 1022 kg. = 604.35 × 1022 kg.

Step-by-step explanation:

13^5/13^x=13^4
Anyone know how to solve this?

Answers

[tex]\frac{13^5}{13^x} =13^4 =>13^{5-x} =13^4\\ =>5-x=4=> x=5-4=1[/tex]

ANSWER: x = 1

ok done. Thank to me :>

whats the exact length of BC?

Answers

-..........The  answer is b-

--------------------------------------------------------

(15)²= (9)²+(BC)²

225=81+(BC)²

BC=√144

BC=12

Answer:

B:12

Step-by-step explanation:

The length of BC is 12 because we can use the Pythagorean theorem to solve this. First, we know what the hypotenuse is 15 and the one of the side lengths which is 9. he equation to solve this is h^2-a^2 when h is 15 and a=9. So, we we plug in the info, we get 15^2-9^2 which is 15*15-9*9 which is 225-81 and that is 144. We are not done yet because we need to find the square root of 144 since we squared 15 and 9 in the first place. The √144 is 12 because 12*12 is 144. Now, we have to check! The equation is a^2+b^2=h^2 when a=12, b=9, and h=15! So, it will be 12^2+9^2=15^2 which simplifies to 144+81=225 and that is true!! So thats why it is B. Hope this helps!!!!!!

Plz mark me as brainliest

Help for points! please

Answers

Answer:

B 5/12

Step-by-step explanation:

Answer:

its b  

Step-by-step explanation:

i just did it

have a nice dayyyyyyyyyyyyyyyy

Willie's school is selling tickets to a play. On the first day of ticket sales the school sold 5 adult
tickets and 1 student ticket for a total of $80. The school took in $240 on the second day by
selling 14 adult tickets and 6 student tickets. Find the price of an adult ticket and the price of a
student ticket.

Answers

Answer:

Step-by-step explanation:

A I think sorry if I’m wrong

SOMEBODY HELP ME
NO LNKS PLZ

Answers

Write it out so I can help you!

Answer: 63

Step-by-step explanation:

[tex]a_4=-1+8^8\\a_4=63[/tex]

Write an inequality that represents the graph

Answers

Answer:

y<=-1/2x-2

Step-by-step explanation:


What is the slope of a line that is parallel to y = 5x + 3?

Answers

Answer:

slope = 5

Step-by-step explanation:

The equation of a lin in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 3 ← is in slope- intercept form

with slope m = 5

Parallel lines have equal slopes , then

The slope of a line parallel to y = 5x + 3 is 5

how do i do this?? any answers pls

Answers

Step-by-step explanation:

In the given problem, there are two plans that can be represented with a linear function.

Plan A:

A = total monthly cost of Plan A for every x number of movies that Sadie watches per month

Slope: $3 = The additional cost for every x number of movies watched per month

Y-intercept: $21 = The monthly cost of Plan A  

Combining these elements together, we can establish the following linear function: A(x) = 3x + 21

Plan B:          

B = total monthly cost of Plan B for every x number of movies that Sadie watches per month

Slope: $1.50 = The additional cost for every x number of movies watched per month

Y-intercept: $27 = The monthly cost of Plan B    

Combining these elements together, we can establish the following linear function: B(x) = 1.5x + 27  or  [tex]\displaystyle\mathsf{B(x)\:=\:\frac{3}{2}x\:+\:27}[/tex].

Graphing:Plan A:

In order to graph Plan A, start with plotting the y-intercept, (0, 21). The y-intercept is the point on the graph where it crosses the y-axis. Then, use the slope, m = 3 (rise 3, run 1), to plot the other points on the graph.

Plan B:

Similarly for Plan B, start with plotting the y-intercept, (0, 27).

Then, use the   [tex]\displaystyle\mathsf{slope (m)\:=\:1.5\:or\:\frac{3}{2}}[/tex]  (rise 3, run 2), to plot the other points on the graph.

Attached is the graphed linear functions, A(x) and B(x). The two lines intersect at point, (4, 33), which means that the total cost of Plans A and B will be the same at $33.

Interval of movies watched:

The attached graph also shows that when 0 ≤ x < 4, Plan A is cheaper than Plan B.  The interval notation is: [0, 4).

This implies that when Sadie watches 0 - 4 movies per month, she will pay lesser in Plan A than Plan B.          

5-m=1.37 PLEASE HELP

Answers

Answer:

m = 3.63

Step-by-step explanation:

5-m =1.37

5-m-5 = 1.37-5

-m=-3.63

-m/-1=-3.63/-1

m= 3.63

Answer:

x = 3.63

Step-by-step explanation:

use elimination;

5 - m = 3.63

+5 +5

5 - 5 + 5 = 5

3.63 - 5 + 5 = 3.63

check answer:

5 - 3.63 = 1.37

therefore; x = 3.63

hope this helps!

which expression shows the correct way of solve for the length of GH​

Answers

Cos35=18.4/hypotenuse (cos=adj/hyp). We can rearrange this equation to get hypotenuse=18.4/cos35. The answer would be the second one down from the top

Hey help pls pls pls pls pls

Answers

Answer:

coefficient of xwrite the equation in slope-intercept form35

Step-by-step explanation:

The value -105 is the coefficient of x.

The slope is most easily read from the equation when it is in slope-intercept form. In that form, the slope is the coefficient of x. You could say Kim forgot to write the equation in slope-intercept form.

When the equation is written in that form, it becomes ...

  165 -105x +3y = 0

  165 -105x = -3y . . . . subtract 3y

  -55 +35x = y . . . . . . divide by -3

  y = 35x -55 . . . . . . in slope-intercept form

The correct slope is 35.

1) Find the area of the shaded region
if the big diameter is 12 in, and the
small diameter is 8 in.

Answers

Answer:

the answer in 12 x 8÷2 =48


The question is, “ Which fraction is equivalent to 2/6?
A. 3/7
B.3/9
C.3/12
D.3/8”
I think that’s the question she was trying to adk

Answers

Answer:

B .3/9

Step-by-step explanation:

2/6 = 0.333333

3/9=0.333333

Answer: 3/9

2/6=1/3 and 3/9=1/3 as well, making them equal

3 tickets to the museum cost $12.75. At this rate, what is the cost of:
1 ticket?
5 tickets?

Answers

Answer:

1 ticket would be $4.25

5 tickets would be $21.25

Step-by-step explanation:

Hope that help, mind if a get a brainliest now?

Answer:

4.25 for 1 ticket, 21.25 for 5

Step-by-step explanation:

12.75 divided by 3 = 4.25 x 5 = 21.25

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